Universal quantum signature of mixed dynamics in antidot lattices

Details Universal quantum signature of mixed dynamics in antidot lattices Universal quantum signature of mixed dynamics in antidot lattices

2005-09-08

arxiv.org/abs/cond-mat/0509219v1

Phys. Rev. B 72 (2005) 245334

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages

Scientific paper

10.1103/PhysRevB.72.245334

We investigate phase coherent ballistic transport through antidot lattices in the generic case where the classical phase space has both regular and chaotic components. It is shown that the conductivity fluctuations have a non-Gaussian distribution, and that their moments have a power-law dependence on a semiclassical parameter, with fractional exponents. These exponents are obtained from bifurcating periodic orbits in the semiclassical approximation. They are universal in situations where sufficiently long orbits contribute.

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